Least Common Multiple (LCM) of 88 and 100
The least common multiple (LCM) of 88 and 100 is 2200.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 88 and 100?
First, calculate the GCD of 88 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 100 = 0 remainder 88 |
| 2 | 100 ÷ 88 = 1 remainder 12 |
| 3 | 88 ÷ 12 = 7 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 29 | 5800 |
| 162 and 45 | 810 |
| 101 and 145 | 14645 |
| 19 and 110 | 2090 |
| 26 and 124 | 1612 |